期刊
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
卷 -, 期 7, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2006/07/008
关键词
cosmological perturbation theory; inflation; physics of the early universe
We show how to obtain the probability density function for the amplitude of the curvature perturbation, R, produced during an epoch of slow-roll, single-field inflation, working directly from n-point correlation functions of R. These n-point functions are the usual output of quantum field theory calculations, and as a result we bypass approximate statistical arguments based on the central limit theorem. Our method can be extended to deal with arbitrary forms of non-Gaussianity, appearing at any order in the n-point hierarchy. We compute the probability density for the total smoothed perturbation within a Hubble volume, epsilon, and for the spectrum of epsilon. When only the two-point function is retained, exact Gaussian statistics are recovered. For when the three-point function is taken into account, we compute explicitly the leading slow-roll correction to the Gaussian result.
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